If the positive numbers `x, y& z` satisfy `xyz=1000, log_10 x log_10 y + log_10 xy log_10z =1` and `log_x 10+ log_y 10+ log_z 10 = 1/3` then the value of `root(3)((log_10 x)^3+(log_10 y)^3 +(log_10 z)^3),` is

If the positive numbers x,y&z satisfy xyz=1000,log_(10)x log_(10)y+log_(10)xy log_(10)z=1 and log_(x)10+log_(y)10+log_(z)10=(1)/(3) then the value of root(3)((log_(10)x)^(3)+(log_(10)y)^(3)+(log_(10)z)^(3)) is

If y = log_10 x + log_X 10 + log_(x) X + log_(10)10, find dy/dx

If log_10 2, log_10(2^x- 1) and log_10(2^x+3) are in A.P., then find the value of x.

Positive numbers x,y backslash and backslash z satisfy xyz:)=(:10^(1) and (log_(10)x)*(log_(10)yz)+(log_(10)y)*(log_(10)z)=468. Find the value of (log_(10)x)^(2)+(log_(10)y)^(2)+(log_(10)z)^(2)

Find domain of the function log_10 log_10 log_10 log_10 log_10 x

Find domain of the function log_10 log_10 log_10 log_10 log_10 x

Find domain of the function log_10 log_10 log_10 log_10 log_10 x